thursday, 10 september 2015 1created by mr.lafferty level e quadrilaterals this presentation will...
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Wednesday, April 19, 2023 1Created by Mr.Lafferty
Level E Level E QuadrilateralsQuadrilaterals
This presentation will cover the basic propertiesof various quadrilaterals.
Where appropriate, follow up exercises are indicated for consolidation purposes.
Wednesday, April 19, 2023 2Created by Mr.Lafferty
QuadrilateralsQuadrilaterals
Definition : Quadrilateral is “ A closed 4 sided linear shape”
Shape is made up of 4 straight
lines
A few types of special quadrilaterals
Square
Trapezium
Rectangle
Rhombus
Kite
Parallelogram
Quadrilateral
Wednesday, April 19, 2023 3Created by Mr.Lafferty
QuadrilateralsQuadrilaterals
Definition : Quadrilateral is “ A closed 4 sided linear shape”
Shape is made up of 4 straight
lines
A few types of special quadrilaterals
Square
Trapezium
Rectangle
Rhombus
Kite
Parallelogram
Wednesday, April 19, 2023 4Created by Mr.Lafferty
(b) Opposite sides are parallel
The SquareThe Square
(e) Turn symmetry 12
4Perimeter l l l l l
(a) 4 sides are equal length
(c) All angles are equal and are 90o
(d) It has 4 line of symmetry
ll
l
l
(f) Turn symmetry 14
2Area l l l
Properties of a squareProperties of a square
(g) If cut out it can fit back 8 different ways
(h) Two diagonals are the same length
(i) Diagonals bisect each other at 90o
(j) Diagonals bisect corner angles
Wednesday, April 19, 2023 5Created by Mr.Lafferty
(b) Opposite sides are parallel
The RectangleThe Rectangle
(e) Turn symmetry 12
2 2Perimeter l b l b l b
(a) Opposite sides have equal length
(c) All angles are equal and are 90o
(d) It has 2 line of symmetry
bb
l
l
Area length breadth l b
Properties of a rectangleProperties of a rectangle
Exercise 2 Teejay Page 210
(f) If cut out it can fit back 4 different ways
(g) Diagonals are the same length
(h) Diagonals bisect each other
Wednesday, April 19, 2023 6Created by Mr.Lafferty
Angles in a QuadrilateralAngles in a Quadrilateral
and ABC ACD
IMPORTANT : The angles in a quadrilateral ALWAYS add up to 360o
C
DA
BWe have split the quadrilateral into two triangles
But for any triangle the sum of the angles is 180
0
Hence for the quadrilateral we have 2x180o=360
o
ao
cob
o
do
360o o o o oa b c d
Wednesday, April 19, 2023 7Created by Mr.Lafferty
Angles in a QuadrilateralAngles in a Quadrilateral
90 34 100 360o o o o oy
360 224o o oy
Question : Find the missing angle below.
x
yz
w
34o
100o
The four angles of a quadrilateral add to = 360o
Exercise 3 Teejay Page 213
136o oyy
o
Wednesday, April 19, 2023 8Created by Mr.Lafferty
(b) Opposite sides are parallel
The RhombusThe Rhombus
(e) Turn symmetry 12
(a) All sides have equal length
(c) Opposite angles are equal
(d) It has 2 line of symmetryl
l
l
l
Properties of a rhombusProperties of a rhombus
(f) If cut out it can fit back 4 different ways
(g) Diagonals bisect each other at 90o
(h) Diagonals bisect corner angles
Exercise 4 Teejay Page 214
Wednesday, April 19, 2023 9Created by Mr.Lafferty
(b) Left and right angles are the same
The KiteThe Kite
(a) 2 pairs of adjacent sides of equal length
(c) It has 1 line of symmetry
CA
l1l1 Properties of a kiteProperties of a kite
(d) If cut out it can fit back 2 different ways
(e) Only one diagonal bisects the other
(f) Diagonals cross each other at 90o
(g) One diagonal bisect corner angles
B
D
l2l2
Exercise 1 Teejay Page 218
Wednesday, April 19, 2023 10Created by Mr.Lafferty
(b) Opposite pairs of sides are parallel
The ParallelogramThe Parallelogram
(d) Turn symmetry 12
(a) Opposite pairs of sides have equal length
(c) Opposite pairs of angles are equal
(e) It has NO lines of symmetry
CB
Properties of a parallelogramProperties of a parallelogram
(f) If cut out it can fit back 2 different ways
(g) Diagonals bisect each other
A Dl1
l1
l2l2
Exercise 1 Teejay Page 221
Wednesday, April 19, 2023 11Created by Mr.Lafferty
The The TrapezoidTrapezoid
Has ONLY ONE property which is
1 pair of parallel lines
Properties of a trapezoidProperties of a trapezoid
Exercise 1 Teejay Page 224